- Many machines are made ......... by electricity.
(to run - to be run)
Using 'by' here is perplexing. The intransitive use of 'run' is the natural thing to say here. I'd say: "Many machines are made to run on electricity." Using 'by' means 'run' is used as a transitive verb and must be used in the passive form in your example. I haven't seen 'run' used as a transitive verb with this meaning before.
I'd say: "Many machines are made to run on electricity."
"Made to run on electricity" is an excellent suggestion, Ahmed_btm. "Made to run by electricity" definitely does not work, and, with the passive infinitival (to be V-ed), it would be more idiomatic to change "run" to "powered":
Many machines are made to be powered by electricity.
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